TSTP Solution File: ALG199+1 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:51:55 EDT 2022
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 110 ( 109 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 164 ( 73 ~; 42 |; 49 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax6,axiom,
( e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))
& e1 = op(e5,e5)
& e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
& e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
& e4 = op(e5,op(e5,e5))
& e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e0 != e5
& e0 != e6
& e1 != e2
& e1 != e3
& e1 != e4
& e1 != e5
& e1 != e6
& e2 != e3
& e2 != e4
& e2 != e5
& e2 != e6
& e3 != e4
& e3 != e5
& e3 != e6
& e4 != e5
& e4 != e6
& e5 != e6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(c_0_3,negated_conjecture,
~ ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_0_4,plain,
e4 = op(e5,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_5,plain,
e1 = op(e5,e5),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_6,negated_conjecture,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_8,plain,
op(e5,e1) = e4,
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
op(e4,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_5]),c_0_8]),c_0_5]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
op(e0,e0) != e0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
op(e1,e1) != e1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
op(e2,e2) != e2,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
op(e3,e3) != e3,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_16,plain,
e1 != e5,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_17,negated_conjecture,
op(e6,e6) != e6,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_5]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 00:46:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.39 # No SInE strategy applied
% 0.12/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.39 #
% 0.12/0.39 # Presaturation interreduction done
% 0.12/0.39
% 0.12/0.39 # Proof found!
% 0.12/0.39 # SZS status Theorem
% 0.12/0.39 # SZS output start CNFRefutation
% See solution above
% 0.12/0.39 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------